BU08 Information Update Cost under Dynamic Boundary Fixation

Abstract This paper develops Information Update Cost under Dynamic Boundary Fixation as a minimal structural account of why no admissible update is free under a single-universe boundary regime. Its central claim is that every newly established relevant relation within the fixed ontological boundary carries a non-zero update cost. Let D(M) denote the dynamically complete interface on the mother-structure M, let B_0 denote the unique fixed boundary set, and let \Delta I denote information update cost. Within this framework, \Delta I is not interpreted as a merely epistemic or computational expense. It is defined as the structural cost required to bind a generated mismatch back into a boundary-consistent state. Any admissible update therefore unfolds through a strict chain: generation, mismatch exposure, cost payment, and restored standing. The paper formalizes this cost as a consequence of dynamic boundary fixation rather than optional correction. If no cost is paid, no new standing is established; if new standing is established, some cost has necessarily been paid. Information is thus recast as structured relevant relation under fixed boundary, and update cost becomes the irreducible price of transforming local generation into globally admissible settlement. The result is a sharp reclassification of alignment and update dynamics: large classes of apparent ambiguity no longer belong to ontology-level drift, but to implementation-level matching, payment, and residual technical approximation under one fixed boundary background.